RADIAL STABILITY OF PERIODIC SOLUTIONS OF THE GYLDEN-MESHCHERSKII-TYPE PROBLEM

被引：24

作者：

Chu, Jifeng ^{[1
]}

Torres, Pedro J. ^{[2
]}

Wang, Feng ^{[1
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Radial stability; periodic solutions; Gylden-Meshcherskii-type problem; twist; REPULSIVE SINGULAR EQUATIONS; DIFFERENTIAL-EQUATIONS; NEWTONIAN EQUATION; SYSTEMS; EXISTENCE; ORBITS;

D O I：

10.3934/dcds.2015.35.1921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Gylden-Meshcherskii-type problem with a periodically changing gravitational parameter, we prove the existence of radially periodic solutions with high angular momentum, which are Lyapunov stable in the radial direction.

引用

页码：1921 / 1932

页数：12

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